Topological Entropy Of Generalized Bunimovich Stadium Billiards

TL;DR

This paper provides lower bounds for the topological entropy of generalized Bunimovich stadium billiards, analyzing how these bounds behave as the table length increases, contributing to understanding chaotic dynamics in billiard systems.

Contribution

It introduces a method to estimate the topological entropy from below for generalized Bunimovich stadium billiards and studies the asymptotic behavior as the table length grows.

Findings

Lower bounds for topological entropy are established.

The limits of these bounds are analyzed as the billiard table length tends to infinity.

Results contribute to understanding chaos in billiard dynamics.

Abstract

We estimate from below the topological entropy of the generalized Bunimovich stadium billiards. We do it for long billiard tables, and find the limit of estimates as the length goes to infinity.